A210009 Number of (n+1)X6 0..2 arrays containing all values 0..2 with every 2X2 subblock having two or three distinct values, and new values 0..2 introduced in row major order

73035, 45763485, 28267925909, 17447565687601, 10768436781440673, 6646136755091102809, 4101906886832685812439, 2531642149295850410640039, 1562495723118378757997238389, 964351492312871402717746880585

Offset

1,1

Comments

Column 5 of A210012

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 573*a(n-1) +30380*a(n-2) -1820317*a(n-3) -64620186*a(n-4) +2413466027*a(n-5) +25834430264*a(n-6) -1438737490222*a(n-7) +12337224757695*a(n-8) +49598042788792*a(n-9) -1084284168587647*a(n-10) +2051249871494598*a(n-11) +30950380519294759*a(n-12) -131549162170363156*a(n-13) -336954198103023061*a(n-14) +2531233463121721773*a(n-15) +533314574197359725*a(n-16) -23102889552381944596*a(n-17) +14132576529391844552*a(n-18) +118149845067651911520*a(n-19) -106832359011686597944*a(n-20) -370826020349056584576*a(n-21) +332001892525145611112*a(n-22) +740724091900438559904*a(n-23) -520203514716405112640*a(n-24) -911754397012097209376*a(n-25) +438911530870836509952*a(n-26) +660062482216350374528*a(n-27) -213627889190601071616*a(n-28) -274458905068840770560*a(n-29) +64171673384081219584*a(n-30) +63976638494074126336*a(n-31) -12400533613647757312*a(n-32) -7927734462478548992*a(n-33) +1498195392215384064*a(n-34) +463499960801820672*a(n-35) -96918864658432000*a(n-36) -8277833545678848*a(n-37) +2471871790448640*a(n-38) -118515327565824*a(n-39)

Example

Some solutions for n=4
..0..0..1..1..0..1....0..0..1..0..0..0....0..0..0..0..1..0....0..0..1..0..0..0
..1..1..1..2..0..0....0..1..0..0..2..2....0..1..2..1..0..0....2..2..1..2..0..1
..0..1..2..1..0..2....2..2..1..0..2..0....2..0..0..0..2..0....2..0..0..2..2..2
..1..0..2..2..1..0....1..2..2..1..1..2....0..1..1..1..0..1....1..1..0..2..0..0
..2..2..2..1..2..0....2..1..0..2..1..2....2..2..1..0..1..1....1..0..1..2..0..2

Crossrefs

Sequence in context: A254357 A031665 A247993 * A237701 A023185 A244254

Adjacent sequences: A210006 A210007 A210008 * A210010 A210011 A210012

Keyword

nonn

Author

R. H. Hardin Mar 16 2012

Status

approved